How to stop at all any syncing on new MacBook with another devices with same Apple ID? I want to use Apple ID on MacBook only for App Store.
Syncing happens in the system settings, iCloud. If you sign out there, you stop syncing.
You can stay signed in to the App Store and not sign in to iCloud as well, just skip the full setup when you set up your account - choose set up later if you are asked if you want to sync iCloud.